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Diagnostic Checking in a Flexible Nonlinear Time Series Model

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Author Info
Medeiros, Marcelo () (Dept. of Economic Statistics, Stockholm School of Economics)
Veiga, Alvaro () (Dept. of Electrical Engineering, Catholic University of Rio de Janeiro)

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Abstract

This paper considers a sequence of misspecification tests for a flexible nonlinear time series model. The model is a generalization of both the Smooth Transition AutoRegressive (STAR) and the AutoRegressive Artificial Artificial Neural Network (AR-ANN) models. The tests are Lagrange multiplier (LM) type tests of parameter constancy against the alternative of smoothly changing ones, of serial independence, and constant variance of the error term against the hypothesis that the variance smoothly changes between regimes. The small sample behaviour of the proposed tests is evaluated throw a Monte-Carlo study and the results show that the tests have size close to the nominal one and a good power.

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Publisher Info
Paper provided by Stockholm School of Economics in its series Working Paper Series in Economics and Finance with number 386.

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Length: 24 pages
Date of creation: 06 Jun 2000
Date of revision: 15 Jan 2001
Publication status: Published in Journal of Time Series Analysis, 2003, pages 461-482.
Handle: RePEc:hhs:hastef:0386

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Related research
Keywords: Time series; nonlinear models; STAR models; neural networks; statistical inference; parameter constancy; serial independence; heteroscedasticity; misspecification;

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Find related papers by JEL classification:
C22 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - Time-Series Models; Dynamic Quantile Regressions
C51 - Mathematical and Quantitative Methods - - Econometric Modeling - - - Model Construction and Estimation

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References listed on IDEAS
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
  1. Medeiros, Marcelo & Veiga, Alvaro, 2000. "A Flexible Coefficient Smooth Transition Time Series Model," Working Paper Series in Economics and Finance 360, Stockholm School of Economics, revised 10 Feb 2000.
  2. Davidson, Russell & MacKinnon, James G, 1998. "Graphical Methods for Investigating the Size and Power of Hypothesis Tests," The Manchester School of Economic & Social Studies, Blackwell Publishing, vol. 66(1), pages 1-26, January.
    Other versions:
  3. Breusch, T S & Pagan, A R, 1980. "The Lagrange Multiplier Test and Its Applications to Model Specification in Econometrics," Review of Economic Studies, Blackwell Publishing, vol. 47(1), pages 239-53, January. [Downloadable!] (restricted)
  4. Eitrheim, Oyvind & Terasvirta, Timo, 1996. "Testing the adequacy of smooth transition autoregressive models," Journal of Econometrics, Elsevier, vol. 74(1), pages 59-75, September. [Downloadable!] (restricted)
    Other versions:
  5. G. Rech & T. Teräsvirta & R. Tschernig, . "A Simple variable selection technique for nonlinear models," Sonderforschungsbereich 373 1999-26, Humboldt Universitaet Berlin.
    Other versions:
  6. Breusch, T S & Pagan, A R, 1979. "A Simple Test for Heteroscedasticity and Random Coefficient Variation," Econometrica, Econometric Society, vol. 47(5), pages 1287-94, September. [Downloadable!] (restricted)
  7. Lundbergh, Stefan & Teräsvirta, Timo & van Dijk, Dick, 2000. "Time-Varying Smooth Transition Autoregressive Models," Working Paper Series in Economics and Finance 376, Stockholm School of Economics.
    Other versions:
  8. Chung-Ming Kuan & Halbert White, 1992. "Artificial Neural Networks: An Econometric Perspective," University of California at San Diego, Economics Working Paper Series 92-11, Department of Economics, UC San Diego.
    Other versions:
Full references

Cited by:
(explanations, Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.)

  1. Ciro Biderman & João Manoel Pinho de Mello & Alexandre A Schneider, 2006. "Dry law and homicides: evidence from the São Paulo metropolitan area," Textos para discussão 518, Department of Economics PUC-Rio (Brazil), revised Oct 2008. [Downloadable!]
  2. Marcel Scharth & Marcelo Cunha Medeiros, 2006. "Asymmetric effects and long memory in the volatility of Dow Jones stocks," Textos para discussão 532, Department of Economics PUC-Rio (Brazil). [Downloadable!]
  3. Dimitris K. Christopoulos & Miguel León-Ledesma, 2004. "Current Account Sustainability in the US: What Do We Really Know About It?," Studies in Economics 0412, Department of Economics, University of Kent. [Downloadable!]
  4. Alberto Musso & Livio Stracca & Dick van Dijk, 2007. "Instability and nonlinearity in the Euro area Phillips curve," Working Paper Series 811, European Central Bank. [Downloadable!]
    Other versions:
  5. Ralf Becker & Denise Osborn, 2007. "Weighted smooth transition regressions," The School of Economics Discussion Paper Series 0724, Economics, The University of Manchester. [Downloadable!]
  6. Jonathan B. Hill, 2004. "Consistent and Non-Degenerate Model Specification Tests Against Smooth Transition Alternatives," Working Papers 0406, Florida International University, Department of Economics. [Downloadable!]
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